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2924328 = 2331121953
BaseRepresentation
bin1011001001111100101000
312111120102110
423021330220
51222034303
6142402320
733566511
oct13117450
95446373
102924328
111718100
12b903a0
137b5094
14561a08
153cb703
hex2c9f28

2924328 has 96 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 823680.

The previous prime is 2924321. The next prime is 2924329. The reversal of 2924328 is 8234292.

2924328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2924295 and 2924304.

It is not an unprimeable number, because it can be changed into a prime (2924321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55150 + ... + 55202.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

22924328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2924328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

2924328 is an abundant number, since it is smaller than the sum of its proper divisors (5694072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2924328 is a wasteful number, since it uses less digits than its factorization.

2924328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2924328 is about 1710.0666653672. The cubic root of 2924328 is about 143.0019723594.

The spelling of 2924328 in words is "two million, nine hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 53 57 66 76 88 106 114 121 132 152 159 209 212 228 242 264 318 363 418 424 456 484 583 627 636 726 836 968 1007 1166 1254 1272 1452 1672 1749 2014 2299 2332 2508 2904 3021 3498 4028 4598 4664 5016 6042 6413 6897 6996 8056 9196 11077 12084 12826 13794 13992 18392 19239 22154 24168 25652 27588 33231 38478 44308 51304 55176 66462 76956 88616 121847 132924 153912 243694 265848 365541 487388 731082 974776 1462164 2924328